E. Zambrano-Serrano, J. Muñoz-Pacheco, E. Campos-Cantón
{"title":"Circuit synthesis of an incommensurate fractional order multi-scroll PWL chaotic system","authors":"E. Zambrano-Serrano, J. Muñoz-Pacheco, E. Campos-Cantón","doi":"10.1109/MOCAST.2017.7937651","DOIUrl":null,"url":null,"abstract":"The analysis, design and circuit synthesis of a fractional order piecewise linear (PWL) system is presented in this paper. By selecting incommensurate fractional orders for the dynamical system, multi-scroll chaotic attractors are observed. The resulting fractional order PWL chaotic system satisfies the stability theorem of fractional calculus. Lyapunov exponents confirm the chaotic behavior. Moreover, a circuit synthesis is realized by considering voltage operational amplifiers. SPICE circuit simulations agree with the theoretical results.","PeriodicalId":202381,"journal":{"name":"2017 6th International Conference on Modern Circuits and Systems Technologies (MOCAST)","volume":"57 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 6th International Conference on Modern Circuits and Systems Technologies (MOCAST)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MOCAST.2017.7937651","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
The analysis, design and circuit synthesis of a fractional order piecewise linear (PWL) system is presented in this paper. By selecting incommensurate fractional orders for the dynamical system, multi-scroll chaotic attractors are observed. The resulting fractional order PWL chaotic system satisfies the stability theorem of fractional calculus. Lyapunov exponents confirm the chaotic behavior. Moreover, a circuit synthesis is realized by considering voltage operational amplifiers. SPICE circuit simulations agree with the theoretical results.
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